A control apparatus for a vehicle including a differential section having a first rotating element coupled to a prime mover and a second rotating element connected to drive wheels via an engaging and disengaging apparatus, including: a controller configured to control connection of the engaging and disengaging apparatus, the controller being configured to adjust a power of the prime mover, the controller being configured to reduce the power of the prime mover when performing connection of the engaging and disengaging apparatus, and the controller being configured to reduce more power of the prime mover as a speed of rotation of the first rotating element is lower.